135453400 has 48 divisors (see below), whose sum is σ = 318952800. Its totient is φ = 53489280.

The previous prime is 135453379. The next prime is 135453401. The reversal of 135453400 is 4354531.

135453400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135453401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11514 + ... + 20086.

It is an arithmetic number, because the mean of its divisors is an integer number (6644850).

Almost surely, 2^135453400 is an apocalyptic number.

135453400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135453400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159476400).

135453400 is an abundant number, since it is smaller than the sum of its proper divisors (183499400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135453400 is a wasteful number, since it uses less digits than its factorization.

135453400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8668 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 135453400 is about 11638.4449133035. Note that the first 3 decimals coincide. The cubic root of 135453400 is about 513.5664408574.

The spelling of 135453400 in words is "one hundred thirty-five million, four hundred fifty-three thousand, four hundred".